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Finding the Fourth Proportional to 119,687.78, 165,168.32 and 65,972.84

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Solution

The fourth proportional to 119,687.78, 165,168.32 and 65,972.84 is: 91,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,687.78 : 165,168.32 = 65,972.84 : x
  2. Step 2: Convert to fraction form
    119,687.78/165,168.32 = 65,972.84/x
  3. Step 3: Cross multiply
    119,687.78x = 165,168.32 × 65,972.84
  4. Step 4: Simplify right side
    119,687.78x = 10,896,622,818.56
  5. Step 5: Solve for x
    x = 10,896,622,818.56/119,687.78
  6. Step 6: Final answer
    x = 91,042.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.